Finite field trigonometric transforms

  • Authors:

  • Juliano B. Lima;Ricardo M. Campello de Souza

  • Affiliations:

  • University of Pernambuco, Polytechnic School of Pernambuco, Rua Benfica, 455, 50750-470, Madalena, Recife, PE, Brazil;Federal University of Pernambuco, Department of Electronics and Systems, Av. Acad. Hélio Ramos, S/N, 4° andar—Cidade Universitária, 50740-530, Recife, PE, Brazil

  • Venue:
  • Applicable Algebra in Engineering, Communication and Computing
  • Year:
  • 2011

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Abstract

In this paper, the finite field trigonometric transforms (FFTT) are introduced. The FFTT family includes eight types of cosine transforms and eight types of sine transforms, which are developed from concepts related to the finite field trigonometry. New lemmas are presented and some properties of the FFTT are discussed.